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Finding the Fourth Proportional to 215.59, 321.95 and 169.42

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Solution

The fourth proportional to 215.59, 321.95 and 169.42 is: 253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.59 : 321.95 = 169.42 : x
  2. Step 2: Convert to fraction form
    215.59/321.95 = 169.42/x
  3. Step 3: Cross multiply
    215.59x = 321.95 × 169.42
  4. Step 4: Simplify right side
    215.59x = 54,544.77
  5. Step 5: Solve for x
    x = 54,544.77/215.59
  6. Step 6: Final answer
    x = 253.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.